Finding the Third Proportional to 82,916 and 194,914

Step by Step Solution

1. Step 1: Write the proportion equation
   82,916 : 194,914 = 194,914 : x
2. Step 2: Convert to fraction form
   82,916/194,914 = 194,914/x
3. Step 3: Cross multiply
   82,916x = 194,914 × 194,914
4. Step 4: Simplify right side
   82,916x = 37,991,467,396
5. Step 5: Solve for x
   x = 37,991,467,396/82,916
6. Step 6: Final answer
   x = 458,192.24